How many degrees are in the measure of the smaller angle that is formed by the hour-hand and minute-hand of a clock when it is 5 o'clock?

The separations between numbers on a clock are 30 degrees each. (360 degrees in a circle, 12 hours)

 

At 5 o'clock, the hour hand is at 150 degrees and the minute hand is at 0 degrees. This makes an angle of 150 degrees.

 

How many degrees are in the measure of the smaller angle that is formed by the hour-hand and minute-hand of a clock when it is 5 o'clock?   

 

When the hour hand goes all the way around, from the 12 to the 12, it has traveled 360^o i.e., a circle. 

 

When the hour hand stops at the 5, it has gone 5/12 of the way around. 

 

5/12 of 360^o is 150^o   

 

 

Unless we're talking about one of those almost non-existant 24-hour analog clocks, but never mind that. 

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